SOLUTION: Tickets at fantasy land amusement park are 20 dollars for children and 30 dollars for adults. 6th grade students at Midtown middle school have an end-of-year class party at fantasy

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Question 773387: Tickets at fantasy land amusement park are 20 dollars for children and 30 dollars for adults. 6th grade students at Midtown middle school have an end-of-year class party at fantasy land. The students buy children tickets and the teachers/chaperones buy adult tickets. Altogether they buy a total of 110 tickets and the total cost is 2,290 dollars. How many of each ticket did they buy?
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Answer by ramkikk66(644) About Me  (Show Source):
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Tickets at fantasy land amusement park are 20 dollars for children and 30 dollars for adults. 6th grade students at Midtown middle school have an end-of-year class party at fantasy land. The students buy children tickets and the teachers/chaperones buy adult tickets. Altogether they buy a total of 110 tickets and the total cost is 2,290 dollars. How many of each ticket did they buy?
Ans:
Let the number of children be x
Then the number of adults = 110 - x (since they bought a total of 110 tickets)
Cost of children's tickets = 20*x
Cost of adult's tickets = (110 - x)*30
Total cost = 20%2Ax+%2B+%28110+-+x%29%2A30+=+2290
20%2Ax+%2B+3300+-+30%2Ax+=+2290
Simplifying
10%2Ax+=+3300+-+2290+=+1010 or x+=+101
Number of children = highlight%28101%29
Number of adults = 110 - 101 = highlight%289%29
Check for correctness:
Cost of children tickets = 101*20 = 2020
Cost of adult tickets = 9*30 = 270
Total = 2020 + 270 = 2290 (correct!)
:)